Magma V2.19-8 Wed Aug 21 2013 01:00:42 on localhost [Seed = 21436945] Type ? for help. Type -D to quit. Loading file "L13n9798__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9798 geometric_solution 12.75754410 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555718767467 0.568552843000 0 5 5 6 0132 0132 0321 0132 0 2 2 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 1 1 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743691414202 0.856866990502 7 0 9 8 0132 0132 0132 0132 1 2 2 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 5 0 0 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403099024055 1.128390163556 7 9 8 0 2031 2031 2103 0132 1 2 2 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 0 5 1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566253150245 0.704690226597 10 10 0 11 0132 3120 0132 0132 1 2 1 1 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743691414202 0.856866990502 10 1 1 11 3201 0132 0321 2031 0 1 1 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743691414202 0.856866990502 12 11 1 11 0132 2031 0132 2103 0 2 1 2 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320419724549 1.071197378021 2 12 3 9 0132 1302 1302 1302 2 2 1 2 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 -6 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566253150245 0.704690226597 3 9 2 12 2103 2103 0132 0132 1 2 1 2 0 0 0 0 -1 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -5 0 5 0 0 0 0 0 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366296888427 0.692452890009 3 8 7 2 1302 2103 2031 0132 1 2 1 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.054245772327 0.969819377011 4 4 12 5 0132 3120 0213 2310 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743691414202 0.856866990502 6 5 4 6 1302 1302 0132 2103 1 2 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743691414202 0.856866990502 6 10 8 7 0132 0213 0132 2031 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120803439032 0.899501210967 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0110_11']), 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_11']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_1001_10']), 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : d['c_0011_0'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0110_11']), 'c_1100_1' : negation(d['c_0110_11']), 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : negation(d['c_1010_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : negation(d['c_0110_11']), 'c_1010_0' : negation(d['c_1001_10']), 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(d['c_1010_7']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_1010_7']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1010_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0110_11, c_1001_10, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 111/4*c_1010_7^8 + 1341/20*c_1010_7^7 + 2193/20*c_1010_7^6 + 1079/20*c_1010_7^5 - 483/20*c_1010_7^4 - 93/20*c_1010_7^3 - 1009/20*c_1010_7^2 - 27/4*c_1010_7 - 73/10, c_0011_0 - 1, c_0011_10 + 73/76*c_1010_7^8 + 452/95*c_1010_7^7 + 2149/190*c_1010_7^6 + 1369/95*c_1010_7^5 + 1337/190*c_1010_7^4 - 881/190*c_1010_7^3 - 81/10*c_1010_7^2 - 391/95*c_1010_7 - 81/76, c_0011_11 - 1, c_0011_12 + 83/76*c_1010_7^8 + 1089/190*c_1010_7^7 + 244/19*c_1010_7^6 + 3029/190*c_1010_7^5 + 622/95*c_1010_7^4 - 489/95*c_1010_7^3 - 31/5*c_1010_7^2 - 943/190*c_1010_7 - 841/380, c_0011_3 - 93/76*c_1010_7^8 - 419/190*c_1010_7^7 - 113/38*c_1010_7^6 + 81/190*c_1010_7^5 + 521/190*c_1010_7^4 - 61/95*c_1010_7^3 + 27/10*c_1010_7^2 - 397/190*c_1010_7 + 61/380, c_0011_8 - 14/19*c_1010_7^8 - 333/190*c_1010_7^7 - 577/190*c_1010_7^6 - 47/38*c_1010_7^5 + 213/190*c_1010_7^4 + 41/38*c_1010_7^3 + 11/10*c_1010_7^2 - 227/190*c_1010_7 + 77/190, c_0011_9 + c_1010_7, c_0101_0 - 1, c_0101_1 - 83/76*c_1010_7^8 - 1089/190*c_1010_7^7 - 244/19*c_1010_7^6 - 3029/190*c_1010_7^5 - 622/95*c_1010_7^4 + 489/95*c_1010_7^3 + 31/5*c_1010_7^2 + 943/190*c_1010_7 + 841/380, c_0101_12 - 1, c_0110_11 - 49/76*c_1010_7^8 + 359/95*c_1010_7^7 + 1036/95*c_1010_7^6 + 382/19*c_1010_7^5 + 966/95*c_1010_7^4 - 299/38*c_1010_7^3 - 13/5*c_1010_7^2 - 699/95*c_1010_7 - 1029/380, c_1001_10 + 253/76*c_1010_7^8 + 1859/190*c_1010_7^7 + 1556/95*c_1010_7^6 + 1991/190*c_1010_7^5 - 406/95*c_1010_7^4 - 506/95*c_1010_7^3 - 27/5*c_1010_7^2 - 109/38*c_1010_7 - 463/380, c_1010_7^9 + 11/5*c_1010_7^8 + 14/5*c_1010_7^7 - 2/5*c_1010_7^6 - 18/5*c_1010_7^5 - 4/5*c_1010_7^4 - 4/5*c_1010_7^3 + 2/5*c_1010_7^2 + 3/5*c_1010_7 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB